So all of this started AFTER you had the rear driveshaft serviced?
Using a prybar, make sure the U joint doesn't move, also, does the U joint move somewhat freely? It shouldn't be hard to move when driveshaft is out of vehicle. Not flopping like a wet noodle, but pretty loose, if the U joint is tight, that could be your issue.
Also, the transfer case does not like an unbalanced driveshaft. Be sure to note with the shop that this happened after your drove it.
I'm starting to lean on a binding U joint without seeing it or driving it.
Edit to add: Hopefully the severely unbalanced driveshaft didn't damage the transfer case, which is why you need to contact the shop..in writing might help via email.
it's not the u-joints, the drive shaft and u-joints are all brand new
this all started when I decided that I wanted to change the u-joints on the original drive shaft.
took it to the dealer and the tech some how managed to press one of the u-joints into the ear so hard it cracked the needle bearing holder, they sent it out like that and as soon as I got on the freeway I had some real bad vibration, they were closed already I picked it up at the end of the day, so I limped it home about 10 miles at 55.
had it towed back the next day, they replaced the messed up u-joint and I picked it up, still had vibration but not as bad and I didn't drive it long maybe 20-30 miles didn't notice any slop per sey, so I had that driveshaft re-balanced and that made it much smoother but still had some minor vibration at 80-90 and around 110mph and I noticed the slop now.
so I had a whole brand new drive shaft made, new u-joints and all. still have the slop, vibration at 80-90 is very very slight I don't think it is the driveshaft and the slop wouldn't be either, it's something else
the bad u-joint was at the pinion end when that happened